Atkin-Lehner |
2- 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560z |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3223754100000000 = 28 · 33 · 58 · 73 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37100,333252] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:1750:1] |
Generators of the group modulo torsion |
j |
22060592966462416/12592789453125 |
j-invariant |
L |
6.1356180572272 |
L(r)(E,1)/r! |
Ω |
0.38406018443268 |
Real period |
R |
0.33282641985269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99120bb2 |
Quadratic twists by: -4 |